Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 585/65,300/91,886/66
Formula to find GCF of Fractions is
GCF = GCF of Numerators/LCM of Denominators
As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators
In the given fractions GCF of Numerators means GCF of 585,300,886
Greatest Common Factor of Numerators i.e. GCF of 585,300,886 is 1 .
LCM of Denominators means LCM of 65,91,66 as per the given fractions.
LCM of 65,91,66 is 30030 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 585,300,886
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 585
List of positive integer factors of 585 that divides 585 without a remainder.
1,3,5,9,13,15,39,45,65,117,195,585
Factors of 300
List of positive integer factors of 300 that divides 300 without a remainder.
1,2,3,4,5,6,10,12,15,20,25,30,50,60,75,100,150,300
Factors of 886
List of positive integer factors of 886 that divides 886 without a remainder.
1,2,443,886
Greatest Common Factor
We found the factors 585,300,886 . The biggest common factor number is the GCF number.
So the greatest common factor 585,300,886 is 1.
Lets's calculate LCM of 65,91,66
13 | 65, 91, 66 |
5, 7, 66 |
∴ So the LCM of the given numbers is 13 x 5 x 7 x 66 = 30030
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/30030
Therefore, the GCF of Fractions 585/65,300/91,886/66 is 1/30030
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 65,91,66 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(65,91,66) = 1
common factors(in case of two or more numbers have common factors) = 13
GCF(65,91,66) x common factors =1 x 13 = 13
LCM(65,91,66) = ( 65 × 91 × 66 ) / 13
LCM(65,91,66) = 390390 / 13
LCM(65,91,66) = 30030
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
1. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
2. What is the GCF of Fractions for 585/65, 300/91, 886/66?
Answer: GCF of Numerators as per given numbers 585/65, 300/91, 886/66 is
GCF of Numerators i.e. for 585,300,886 is 1
LCM of denominators i.e. for 65,91,66 is 30030.
Thus, GCF of Fractions is 1/30030.Finally, GCF of Fractions for 585/65, 300/91, 886/66 is 1/30030.